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Transversals with Residue in Moderately Overlapping <i>T</i>(<i>k</i>)-Families of Translates

Transversals with Residue in Moderately Overlapping <i>T</i>(<i>k</i>)-Families of Translates

Abstract Let K denote an oval, a centrally symmetric compact convex domain with non-empty interior. A family of translates of K is said to have property T ( k ) if for every subset of at most k translates there exists a common line transversal intersecting all of them. The …